ASYMPTOTIC ANALYSIS OF A NEW PIECEWISE-LINEAR CHAOTIC SYSTEM

DOI10.1142/S0218127402004218zbMath1047.34055OpenAlexW2011580096MaRDI QIDQ4736336

Guan-Rong Chen, Moulay Aziz-Alaoui

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402004218

zbMATH Keywords

equilibriaroutes to chaosbifucations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Discontinuous ordinary differential equations (34A36) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Cites Work

• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• Preturbulence: A regime observed in a fluid flow model of Lorenz
• Canonical realization of Chua's circuit family
• “LORENZ ATTRACTOR” FROM DIFFERENTIAL EQUATIONS WITH PIECEWISE-LINEAR TERMS
• ON FEEDBACK ANTICONTROL OF DISCRETE CHAOS
• YET ANOTHER CHAOTIC ATTRACTOR
• Generating chaos via x|x|
• Deterministic Nonperiodic Flow
• Feedback Anticontrol of Discrete Chaos
• DIFFERENTIAL EQUATIONS WITH MULTISPIRAL ATTRACTORS

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